The area of trapezoid | AMC 8, 2003 | Problem 21

Try this beautiful problem from Geometry: The area of trapezoid The area of trapezoid – AMC-8, 2003- Problem 21 The area of trapezoid ABCD is 164 \(cm^2\). The altitude is  8 cm, AB is 10 cm, and CD is 17 cm. What is BC in centimeters? ,  i $8$$ 10...

Largest area Problem | AMC 8, 2003 | Problem 22

Try this beautiful problem from Geometry based Largest area. Largest area – AMC-8, 2003 – Problem 22 The following figures are composed of squares and circles. Which figure has a shaded region with largest area? $A$$B$$C$ Key Concepts Geometry Circle...

Triangle and Quadrilateral | AMC-10A, 2005 | Problem 25

Try this beautiful problem from Geometry: Area of Triangle and Quadrilateral from AMC 10A, 2005. Ratios of the areas of Triangle and Quadrilateral – AMC-10A, 2005- Problem 25 In $ABC$ we have $AB = 25$, $BC = 39$, and $AC=42$. Points $D$ and $E$ are on $AB$ and...

AP GP Problem | AMC-10A, 2004 | Question 18

Try this beautiful problem from Algebra : AP & GP from AMC 10A, 2004. AP GP – AMC-10A, 2004- Problem 18 A sequence of three real numbers forms an arithmetic progression with a first term of \(9\). If \(2\) is added to the second term and \(20\) is added to...

Probability in Divisibility | AMC-10A, 2003 | Problem 15

Try this beautiful problem from AMC 10A, 2003 based on Probability in Divisibility. Probability in Divisibility – AMC-10A, 2003- Problem 15 What is the probability that an integer in the set \({1,2,3,…,100}\) is divisible by \(2\) and not divisible by \(3\)?...